期刊
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA
卷 131, 期 -, 页码 217-235出版社
C E D A M SPA CASA EDITR DOTT ANTONIO MILANI
DOI: 10.4171/RSMUP/131-13
关键词
Macroscopic traffic models; microscopic traffic models; conservation laws
We investigate the relations between a macroscopic Lighthill-Whitham and Richards model and a microscopic follow-the-leader model for traffic flow. Solutions to the microscopic model are proved to tend to those to the macroscopic one in a sort of kinetic limit, i.e. as the number of individuals tends to +infinity while their total mass is constant. Based on this convergence result, we approximately compute the solutions to a conservation law by means of the integration of an ordinary differential system.
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